Mathematics | Cambridge Core

Welcome to the mathematics research hub for papers categorised under MSC 2010 classifications as Statistical Mechanics, Structure of Matter. Papers on this page are organised in collections from 82- through 82D, although not all collections may have papers published in that area at this time. Visit the MSC2010 database from MathScinet for a full list of codes.

Jump to the following areas

82-XX: Statistical mechanics, structure of matter 82Bxx: Equilibrium statistical mechanics 82Cxx: Time-dependent statistical mechanics (dynamic and nonequilibrium) 82Dxx: Applications to specific types of physical systems

Article
Metastable transitions in inertial Langevin systems: What can be different from the overdamped case?
ANDRE N. SOUZA, MOLEI TAO
European Journal of Applied Mathematics, Volume 30, Issue 5

Article
Computing Optimal Interfacial Structure of Modulated Phases
Jie Xu, Chu Wang, An-Chang Shi, Pingwen Zhang
Communications in Computational Physics, Volume 21, Issue 1

Article
The Interpolation Method for Random Graphs with Prescribed Degrees
JUSTIN SALEZ
Combinatorics, Probability and Computing, Volume 25, Issue 3

Article
Quasi-hereditary covers of Temperley–Lieb algebras and relative dominant dimension
Tiago Cruz, Karin Erdmann
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
Algorithms for the ferromagnetic Potts model on expanders
Charlie Carlson, Ewan Davies, Nicolas Fraiman, Alexandra Kolla, Aditya Potukuchi, Corrine Yap
Combinatorics, Probability and Computing, First View

Article
THERMODYNAMIC FORMALISM FOR AMENABLE GROUPS AND COUNTABLE STATE SPACES
Elmer R. Beltrán, Rodrigo Bissacot, Luísa Borsato, Raimundo Briceño
Journal of the Institute of Mathematics of Jussieu, First View

Article
Percolation on irregular high-dimensional product graphs
Sahar Diskin, Joshua Erde, Mihyun Kang, Michael Krivelevich
Combinatorics, Probability and Computing, Volume 33, Issue 3

Article
Almost sure convergence and second moments of geometric functionals of fractal percolation
Michael A. Klatt, Steffen Winter
Advances in Applied Probability, First View

Article
Zeros, chaotic ratios and the computational complexity of approximating the independence polynomial
DAVID DE BOER, PJOTR BUYS, LORENZO GUERINI, HAN PETERS, GUUS REGTS
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 176, Issue 2

Article
Spread-out limit of the critical points for lattice trees and lattice animals in dimensions $\boldsymbol{d}\boldsymbol\gt \textbf{8}$
Noe Kawamoto, Akira Sakai
Combinatorics, Probability and Computing, Volume 33, Issue 2

Article
Boolean percolation on digraphs and random exchange processes
Georg Braun
Journal of Applied Probability, First View

Article
Emergent behaviours of a non-abelian quantum synchronisation model over the unitary group
Dohyun Kim, Jeongho Kim
European Journal of Applied Mathematics, First View

Article
Uniform propagation of chaos for a dollar exchange econophysics model
Fei Cao, Roberto Cortez
European Journal of Applied Mathematics, First View

Article
Macroscopic limit of a Fokker-Planck model of swarming rigid bodies
Pierre Degond, Amic Frouvelle
European Journal of Applied Mathematics, First View

Article
A sufficient condition for the quasipotential to be the rate function of the invariant measure of countable-state mean-field interacting particle systems
Sarath Yasodharan, Rajesh Sundaresan
Advances in Applied Probability, First View

Article
Network-based kinetic models: Emergence of a statistical description of the graph topology
Marco Nurisso, Matteo Raviola, Andrea Tosin
European Journal of Applied Mathematics, First View

Article
Thermalization in Kitaev’s quantum double models via tensor network techniques
Angelo Lucia, David Pérez-García, Antonio Pérez-Hernández
Forum of Mathematics, Sigma, Volume 11

Article
Collapse and diffusion in harmonic activation and transport
Jacob Calvert, Shirshendu Ganguly, Alan Hammond
Forum of Mathematics, Sigma, Volume 11

Article
Fluctuations of the local times of the self-repelling random walk with directed edges
Laure Marêché
Advances in Applied Probability, Volume 56, Issue 2

Article
Desingularization of 2D elliptic free-boundary problem with non-autonomous nonlinearity
Jie Wan
Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, First View

Article
A probabilistic model for interfaces in a martensitic phase transition
Pierluigi Cesana, Ben M. Hambly
Journal of Applied Probability, Volume 59, Issue 4

Article
The Parisi formula is a Hamilton–Jacobi equation in Wasserstein space
Jean-Christophe Mourrat
Canadian Journal of Mathematics, Volume 74, Issue 3

Article
HALF-SPACE MACDONALD PROCESSES
GUILLAUME BARRAQUAND, ALEXEI BORODIN, IVAN CORWIN
Forum of Mathematics, Pi, Volume 8

Article
The maximal current carried by a normal–superconducting interface in the absence of magnetic field
L. K. HART, Y. ALMOG
European Journal of Applied Mathematics, Volume 31, Issue 3

Article
A PATCHWORK QUILT SEWN FROM BROWNIAN FABRIC: REGULARITY OF POLYMER WEIGHT PROFILES IN BROWNIAN LAST PASSAGE PERCOLATION
ALAN HAMMOND
Forum of Mathematics, Pi, Volume 7

Article
A MAGNETIC DOUBLE INTEGRAL
DAVID BROADHURST, WADIM ZUDILIN
Journal of the Australian Mathematical Society, Volume 107, Issue 1

Article
STOCHASTIC MODELS FOR OPTICALLY TRAPPED NANOWIRES
IGNACIO ORTEGA-PIWONKA
Bulletin of the Australian Mathematical Society, Volume 98, Issue 2

MSC 2010: Statistical Mechanics, Structure of Matter

Statistical mechanics, structure of matter (82-XX)

Metastable transitions in inertial Langevin systems: What can be different from the overdamped case?

Computing Optimal Interfacial Structure of Modulated Phases

The Interpolation Method for Random Graphs with Prescribed Degrees

Equilibrium statistical mechanics (32Bxx)

Quasi-hereditary covers of Temperley–Lieb algebras and relative dominant dimension

Algorithms for the ferromagnetic Potts model on expanders

THERMODYNAMIC FORMALISM FOR AMENABLE GROUPS AND COUNTABLE STATE SPACES

Percolation on irregular high-dimensional product graphs

Almost sure convergence and second moments of geometric functionals of fractal percolation

Zeros, chaotic ratios and the computational complexity of approximating the independence polynomial

Spread-out limit of the critical points for lattice trees and lattice animals in dimensions $\boldsymbol{d}\boldsymbol\gt \textbf{8}$

Boolean percolation on digraphs and random exchange processes

Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx)

Emergent behaviours of a non-abelian quantum synchronisation model over the unitary group

Uniform propagation of chaos for a dollar exchange econophysics model

Macroscopic limit of a Fokker-Planck model of swarming rigid bodies

A sufficient condition for the quasipotential to be the rate function of the invariant measure of countable-state mean-field interacting particle systems

Network-based kinetic models: Emergence of a statistical description of the graph topology

Thermalization in Kitaev’s quantum double models via tensor network techniques

Collapse and diffusion in harmonic activation and transport

Fluctuations of the local times of the self-repelling random walk with directed edges

Applications to specific types of physical systems (32Dxx)

Desingularization of 2D elliptic free-boundary problem with non-autonomous nonlinearity

A probabilistic model for interfaces in a martensitic phase transition

The Parisi formula is a Hamilton–Jacobi equation in Wasserstein space

HALF-SPACE MACDONALD PROCESSES

The maximal current carried by a normal–superconducting interface in the absence of magnetic field

A PATCHWORK QUILT SEWN FROM BROWNIAN FABRIC: REGULARITY OF POLYMER WEIGHT PROFILES IN BROWNIAN LAST PASSAGE PERCOLATION

A MAGNETIC DOUBLE INTEGRAL

STOCHASTIC MODELS FOR OPTICALLY TRAPPED NANOWIRES